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Finding the Fourth Proportional to 421.81, 582.05 and 264.47

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Solution

The fourth proportional to 421.81, 582.05 and 264.47 is: 364.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.81 : 582.05 = 264.47 : x
  2. Step 2: Convert to fraction form
    421.81/582.05 = 264.47/x
  3. Step 3: Cross multiply
    421.81x = 582.05 × 264.47
  4. Step 4: Simplify right side
    421.81x = 153,932.51
  5. Step 5: Solve for x
    x = 153,932.51/421.81
  6. Step 6: Final answer
    x = 364.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.